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A simplified technique for the enforcement of boundary conditions along solid profiles is proposed in the framework of the Smoothed Particle Hydrodynamics. The main idea relies on a local definition of the normal and tangent vectors to the solid body, along with a local mirroring of the flow fields. This compound approach allows for a robust and accurate modelling of the fluid–solid interaction close to acute angles and sharp profiles. Numerical benchmarks at increasing complexity are considered to prove the reliability of the proposed technique: hydrostatic test cases, flow past cylinders with elliptic, triangular and spiked circular profile and, finally, a roto-translating motion of a spiked cylinder. The results are compared and validated with other numerical methods.
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Antuono et al. (2023) studied this question.
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